In order to explore the key technologies of parafoil systems, including modeling, trajectory planning, and trajectory tracking control, to support their autonomous homing in wide application prospects in large-scale equipment airdrop replenishment, carrier rocket booster recovery, and natural disaster rescue applications. Through research on the development of parafoil systems both domestically and internationally, a comparative analysis and summary of the basic principles, commonly used methods, and cutting-edge technologies of the three key technologies were conducted, with a focus on the flexible modeling technology of parafoil systems in complex environments, trajectory planning technology in obstacle spaces, and trajectory tracking technology based on intelligent control strategies. A summary and outlook were made on the future development trends of key technologies for autonomous homing of parafoil systems, which can help researchers gain a comprehensive understanding of the research progress and development trends in autonomous homing of parafoil systems, and provide inspiration and reference value for further research in this area.